Continuity mistake: Kurt is still recovering from the beating he took in the previous episode with bad cuts on his forehead, checks and temple area. They are red and impossible to miss while he is in the police station. The cuts have miraculously disappeared in the next scene when he goes to visit Mona.
Chapter One - S1-E1
Continuity mistake: At the end of the episode, Perry comes to a realization about the case, putting together the various photos and clippings as TV detectives do. When he stands up from the floor, though, the pieces, however, change place (just look at the photo that partially covers the "Horror" headline in close-up, but is way below it in the overhead shot). (00:53:05)
Continuity mistake: When Jonah confronts Meyer after the death of the surgeon, Meyer's holding a drink in his left hand as he turns to face Jonah. The shot changes angle and the drink is suddenly in his right. (00:48:40)
Continuity mistake: Throughout the series, the Barbers pull their cars straight up their driveway. But the cars are nearly always shown coming back down the driveway driving forward.
Continuity mistake: While the Agents are reviewing the courthouse security footage, they zoom in on the unsub's license plate number "28K-XK8" on the video feed. Barnes states aloud that it's "28K-XQ8" and Remy asks which employee drives a vehicle with that plate number, then the Courthouse Vehicle Directory shows "28K-XQ8" as the unsub's license plate number. (00:21:25)